CN113908480A - Fire extinguishing bomb initial velocity measuring system - Google Patents

Fire extinguishing bomb initial velocity measuring system Download PDF

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CN113908480A
CN113908480A CN202111071767.XA CN202111071767A CN113908480A CN 113908480 A CN113908480 A CN 113908480A CN 202111071767 A CN202111071767 A CN 202111071767A CN 113908480 A CN113908480 A CN 113908480A
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pressure
data
launching tube
fire extinguishing
time
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CN113908480B (en
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兰开颜
陈伟
王志刚
蒋桂林
郑志毅
程琨
岳丽惠
王飞
桑涛
姚晓宁
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Huaihai Industry Group Co ltd
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    • AHUMAN NECESSITIES
    • A62LIFE-SAVING; FIRE-FIGHTING
    • A62CFIRE-FIGHTING
    • A62C37/00Control of fire-fighting equipment
    • A62C37/50Testing or indicating devices for determining the state of readiness of the equipment
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02ATECHNOLOGIES FOR ADAPTATION TO CLIMATE CHANGE
    • Y02A40/00Adaptation technologies in agriculture, forestry, livestock or agroalimentary production
    • Y02A40/10Adaptation technologies in agriculture, forestry, livestock or agroalimentary production in agriculture
    • Y02A40/28Adaptation technologies in agriculture, forestry, livestock or agroalimentary production in agriculture specially adapted for farming

Abstract

The invention discloses a fire extinguishing bomb initial velocity measuring system, and belongs to the technical field of fire extinguishing bomb tests. The system comprises a piezoelectric sensor, a charge amplifier, an acquisition module, a computer and pressure measurement software. The piezoelectric sensor converts the pressure of gas entering the launching tube into a charge signal, the charge amplifier converts the charge signal into a voltage signal in a proportional relation with the pressure, the pressure measuring software records the voltage signal of the analog input end of the acquisition module, and meanwhile, the pressure measuring software analyzes and calculates by substituting parameters such as the sectional area of the launching tube, the mass of the fire extinguishing bomb, the pressure acting time and the like, so that the initial speed of the bomb leaving the launching tube is obtained. The system has simple composition and strong function, can carry out measurement in all weather without the limitation of times, and solves the problems of high initial speed measurement cost of the initial speed radar, complex operation of the initial speed measurement of the high-speed camera and difficult calculation accuracy.

Description

Fire extinguishing bomb initial velocity measuring system
Technical Field
The invention belongs to the technical field of testing, and relates to a remote accurate fire extinguishing bomb initial velocity measuring system adopting a cold air ejection launching mode.
Background
The remote accurate fire extinguishing bomb (hereinafter referred to as fire extinguishing bomb) based on the safe launching mode mainly adopts a high-pressure cold air ejection mode to enable a bomb body to fly away from a launching tube at a certain initial speed, and a bomb-borne computer controls an accelerating engine to ignite after waiting for a certain time by taking an overload signal as a zero point, so that the fire extinguishing bomb can be accurately delivered at a medium and long distance. The aims of extinguishing forest fires in a small size, early extinguishing and layered efficient and accurate manner are fulfilled, and the original forest fire extinguishing mode is changed. The cold gas bomb ejection launching mode belongs to the domestic initiative, not only meets the requirements of quick replacement and repeated use of a gas cylinder, but also improves the safety of the fire extinguishing bomb in the launching link.
Whether the initial speed of the fire extinguishing bomb reaches the designed value is an important precondition for whether the fire extinguishing bomb can hit the fire point. The more common initial speed test mode is to adopt the initial speed radar to directly monitor or a user high-speed camera to collect video images to indirectly calculate. The initial speed radar can accurately measure the initial speed of the projectile when the projectile body starts to shoot the barrel, but the capital threshold of the initial speed radar is high, and the test cannot be carried out under the condition that no initial speed radar equipment exists; when the high-speed camera surveyed the initial velocity, need be at launching tube side position sign distance, according to the distance that the projectile body passes through at certain time, calculate the initial velocity when the projectile body starts launching the section of thick bamboo, but the sign distance receives test condition environmental impact great, and the camera only is applicable to the daytime that light is good simultaneously, can not satisfy the demand of all-weather test.
Disclosure of Invention
The invention aims to provide a fire extinguishing bomb initial speed measuring system which can measure the initial speed of a fire extinguishing bomb away from a development shooting barrel under various environmental conditions, then adjust the pressure value of gas in a secondary pressure chamber according to the measured initial speed, obtain the gas pressure value of the secondary pressure chamber matched with the designed initial speed, and improve the remote fire extinguishing precision of the fire extinguishing bomb.
The purpose of the invention is realized by the following technical scheme:
the invention discloses a fire extinguishing bomb initial velocity measuring system which comprises a piezoelectric sensor, a charge amplifier, an acquisition module, a computer and pressure measuring software. The piezoelectric sensor converts the pressure of gas entering the launching tube into a charge signal, the charge amplifier converts the charge signal into an analog voltage signal in a proportional relation with the pressure, the pressure measuring software records the analog voltage signal of the analog input end of the acquisition module, and meanwhile, the pressure measuring software analyzes and calculates by substituting parameters such as the sectional area of the launching tube, the mass of the fire extinguishing projectile body, the pressure acting time and the like, so that the initial speed of the projectile body leaving the launching tube is obtained.
The piezoelectric sensor is installed at the rear part of the launching tube through a threaded hole, and the piezoelectric induction end is communicated with the cavity of the launching tube. When the projectile is launched, the secondary pressure cabin is instantly communicated with the launching tube, high-pressure gas in the secondary pressure cabin rapidly enters the launching tube, pressure is built in the launching tube, and the projectile body is pushed to move forwards. The piezoelectric sensor converts the gas pressure changed in the launching tube into a charge signal, and the charge signal is sent to the input end of the charge amplifier.
The charge amplifier needs to set the range and the sensitivity matched with the sensor, converts a charge signal transmitted by the piezoelectric sensor into an analog voltage signal in a proportional relation with the gas pressure in the launching tube, and transmits the output analog voltage signal to the acquisition module.
The acquisition module sets sampling frequency and sampling time through pressure measurement software, acquires analog voltage signals output by the charge amplifier, converts the analog voltage signals into digital signals and transmits the digital signals to the computer through a data bus.
The computer is a pressure measuring software operating platform.
The pressure measuring software comprises modules for data acquisition, data playback, cursor reading, data analysis and the like. The data acquisition module acquires pressure data; the data playback module opens the stored pressure data; the cursor reading module reads the start and stop moment of the pressure action; and the data analysis module calculates to obtain the initial speed of the projectile body leaving the barrel.
The data acquisition module is used for setting test parameters and acquiring and storing pressure data. And (3) operating pressure measurement software, clicking a 'data acquisition' button after setting parameters of sampling frequency f and sampling time T, automatically starting to acquire data, stopping acquisition when the acquisition time is equal to the sampling time T, and displaying and storing the pressure data.
Wherein the data playback module comprises the pressure data saved by the opening test. And operating pressure measuring software, clicking a data playback button, popping up a dialog box for opening a file, selecting a data file, and displaying a data pressure curve and test parameters.
Wherein the cursor reading module reads the starting time and the ending time of the pressure action. And (3) operating pressure measurement software, clicking a 'cursor reading' button after testing or displaying data back, respectively moving and positioning a yellow cursor and a red cursor at the pressure curve starting change moment and the pressure ending change moment, and displaying the pressure action starting moment T1 and the pressure ending moment T2, the time difference value, the pressure intensity and the pressure intensity difference value on the left side.
Wherein the data analysis module comprises inputting relevant parameters and analyzing calculation. And (3) running pressure measurement software, testing or displaying data back, reading the pressure action starting time T1 and the pressure action ending time T2, inputting the diameter d of the launching tube and the weight m of the projectile body on a software interface, clicking a data analysis button, and analyzing and calculating the total impulse of the projectile body and the initial speed of leaving the tube according to the momentum theorem.
The total impulse of the projectile body and the initial speed of leaving the barrel are calculated according to the momentum theorem analysis, and the realization method is as follows:
a. inputting the diameter d of the launching tube and the weight m of the projectile body on a software interface;
b. firstly, according to a circle area formula S ═ pi d ^2/4 and a pressure formula F ═ P · S, converting the measured pressure P into a pressure F ═ P · pi d ^ 2/4;
c. according to the impulse formula I, F.t, the impulse of the projectile body in the launching tube is the integral of pressure to time from the pressure starting moment to the pressure ending moment, namely
Figure BDA0003260624540000021
It is simplified to the sum of the pressure trapezoidal areas which are higher than the sampling interval time delta T in the time period from the starting time T1 to the ending time T2, namely the impulse of the projectile in the launching tube
Figure BDA0003260624540000031
Wherein the trapezoidal area formula S ═ Pi+Pi+1) Δ T/2, where S is the pressure area of the ith trapezoid in the time period from T1 to T2, PiFor the ith pressure value, P, in the time period T1-T2i+1The pressure value is the (i + 1) th pressure value in the time period from T1 to T2, delta T is sampling interval time, delta T is 1/f, n is the number of the delta T in the time period from T1 to T2, i is a variable, and i is more than or equal to 0 and less than or equal to n;
d. according to the law of momentum, where Ft is m.DELTA.v and impulse is F.t, the increment of the momentum of the projectile is equal to the impulse of the external force, and the initial speed of the projectile from the barrel is calculated
Figure BDA0003260624540000032
Has the advantages that:
1. in order to solve the limitation that the initial velocity measurement by a primary velocity radar has a high capital threshold, the operation of measuring the initial velocity by a high-speed camera is complex, and the calculation is not easy to be accurate, the fire extinguishing bomb initial velocity measurement system disclosed by the invention fully utilizes the advantage that the pressure can be measured by a fire extinguishing bomb cold air ejection emission mode, and the initial velocity of a bomb body leaving a cylinder is obtained through indirect analysis and calculation by a mode of measuring the pressure in the emission cylinder.
2. According to the fire extinguishing bomb initial speed measuring system disclosed by the invention, the pressure value of gas in the secondary pressure chamber is adjusted according to the measured initial speed, so that the gas pressure value of the secondary pressure chamber matched with the designed initial speed is obtained, and the remote fire extinguishing precision of the fire extinguishing bomb is improved.
3. According to the fire extinguishing bomb initial speed measuring system disclosed by the invention, pressure measuring software can store and display pressure data, so that systematic analysis is facilitated.
4. The fire extinguishing bomb initial speed measuring system disclosed by the invention is simple in composition, strong in function and capable of carrying out measurement in all weather without limitation of times.
Drawings
FIG. 1 is a schematic diagram of the system connections of the present invention;
FIG. 2 is a flow chart of pressure measurement software according to the present invention;
FIG. 3 is a pressure measurement software operating interface according to the present invention.
Detailed Description
In order to make the objects, contents and advantages of the present invention clearer, the following detailed description of the embodiments of the present invention will be made in conjunction with the accompanying drawings and examples.
The fire extinguishing bomb test device aims to solve the problem of initial speed test in the fire extinguishing bomb development process and ensures that the pressure value of a secondary pressure chamber corresponds to the initial speed of a bomb body leaving a cylinder when the fire extinguishing bomb is launched. The invention utilizes the recording and analyzing to calculate the pressure of high-pressure gas entering the launching tube from the secondary pressure chamber instantly when the fire extinguishing bomb is launched, so as to obtain the initial velocity of the bomb body leaving the tube, and lay a foundation for the remote accurate strike of the fire extinguishing bomb.
As shown in figure 1, the fire extinguishing bomb initial velocity measuring system provided by the invention comprises a piezoelectric sensor, a charge amplifier, a collecting module, a computer and pressure measuring software. The piezoelectric sensor converts the pressure of gas entering the launching tube into a charge signal, the charge amplifier converts the charge signal into a voltage signal in a proportional relation with the pressure, the pressure measuring software records the voltage signal of the analog input end of the acquisition module, and meanwhile, the pressure measuring software analyzes and calculates by substituting parameters such as the sectional area of the launching tube, the mass of the fire extinguishing bomb, the pressure acting time and the like, so that the initial speed of the bomb leaving the launching tube is obtained.
Specifically, the piezoelectric sensor is installed at the rear part of the launching tube through a threaded hole, and the piezoelectric induction end is communicated with the cavity of the launching tube. When the fire extinguishing bomb is launched, the secondary pressure chamber is instantly communicated with the launching tube, high-pressure gas in the secondary pressure chamber quickly enters the launching tube, pressure is built in the launching tube, and the bomb body is pushed to move forwards. The piezoelectric sensor converts the gas pressure intensity changed in the launching tube into a charge signal, and the charge signal is sent to the input end of the charge discharger. The charge discharger is provided with a measuring range and sensitivity matched with the sensor, converts a charge signal transmitted by the piezoelectric sensor into an analog voltage signal in a proportional relation with the gas pressure in the launching tube, and transmits the output analog voltage signal to the acquisition module.
And (4) operating pressure measurement software, and setting sampling frequency and sampling time, wherein the sampling time is longer than the time of the fire extinguishing bomb launching process. In order to ensure the integrity of the test data, a 'data acquisition' button is clicked 5s before the fire extinguishing bomb is launched, the pressure data is acquired, and the pressure data is displayed and stored after the acquisition is finished. Clicking a 'cursor reading' button to respectively move and position a yellow cursor and a red cursor on a test curve on the right side of a pressure measuring software interface at the starting changing moment and the ending changing moment of a pressure intensity curve, and simultaneously displaying the starting and ending moments of pressure action, a time difference value, pressure intensity and a pressure intensity difference value on the left side of the interface.
Or the pressure measuring software is operated, the data redisplay button is clicked, the pressure data file which is stored in the popped file opening dialog box is selected, and the data pressure curve and the test parameters are redisplayed. Clicking a 'cursor reading' button to respectively move and position a yellow cursor and a red cursor on a test curve on the right side of a pressure measuring software interface at the starting changing moment and the ending changing moment of a pressure intensity curve, and simultaneously displaying the starting and ending moments of pressure action, a time difference value, pressure intensity and a pressure intensity difference value on the left side of the interface. The diameter of the launching tube and the weight parameters of the projectile body are input in a software interface, a data analysis button is clicked, and the total impulse of the projectile body and the initial velocity of the projectile body leaving the tube are calculated by applying momentum theorem analysis.
The invention discloses a working method of a fire extinguishing bomb initial velocity measuring system, which comprises the following steps:
the fire extinguishing bomb based on the safe launching mode mainly adopts a high-pressure cold air launching mode to enable the bomb body to fly away from the launching tube at a certain initial speed, and the initial kinetic energy of inertial flight of the fire extinguishing bomb is provided by a propellant powder or a take-off engine. High-temperature and high-pressure gas does not exist in the process of high-pressure cold air ejection and emission, and the system is suitable for a fire extinguishing bomb initial speed measuring system adopting a piezoelectric sensor pressure measuring mode. The piezoelectric sensor is installed at the rear part of the launching tube through a threaded hole, the piezoelectric sensing end is communicated with the cavity of the launching tube, and the sealing of the launching tube is guaranteed by means of a copper gasket. High-pressure gas is stored in the secondary pressure chamber, the secondary pressure chamber is instantly communicated with the launching tube after the fire extinguishing bomb is fired, the high-pressure gas in the secondary pressure chamber quickly enters the launching tube, pressure is built in the launching tube, and the bomb body is pushed to move forwards. The piezoelectric sensor converts the gas pressure changed in the launching tube into a charge signal, the charge signal is transmitted to the charge discharger to be converted into an analog voltage signal in a proportional relation with the gas pressure in the launching tube, the analog voltage signal at the analog end of the acquisition module is acquired and stored by pressure measurement software, and the total impulse and the initial speed of leaving the launching tube are calculated by applying momentum theorem analysis by substituting known parameters of the launching tube diameter d, the weight m of the projectile body, the pressure action starting time T1, the pressure action ending time T2 and the like.
The total impulse of the projectile body and the initial speed of leaving the barrel are calculated according to the momentum theorem analysis, and the realization method is as follows:
a. inputting the diameter d of the launching tube and the weight m of the projectile body on a software interface;
b. firstly, according to a circle area formula S ═ pi d ^2/4 and a pressure formula F ═ P · S, converting the measured pressure P into a pressure F ═ P · pi d ^ 2/4;
c. according to the impulse formula I, F.t, the impulse of the projectile body in the launching tube is the integral of pressure to time from the pressure starting moment to the pressure ending moment, namely
Figure BDA0003260624540000051
It can be simplified to the sum of the pressure trapezoidal areas which are higher than the sampling interval time delta T in the time period from the starting time T1 to the ending time T2, namely the impulse of the projectile in the launching tube
Figure BDA0003260624540000052
Wherein the trapezoidal area formula S ═ Pi+Pi+1) Δ T/2, where S is the pressure area of the ith trapezoid in the time period T1 to T2, Pi is the pressure value of the ith trapezoid in the time period T1 to T2, and Pi+1The pressure value is the (i + 1) th pressure value in the time period from T1 to T2, delta T is sampling interval time, delta T is 1/f, n is the number of the delta T in the time period from T1 to T2, i is a variable, and i is more than or equal to 0 and less than or equal to n; d. according to the law of momentum formula Ft ═ m Δ v and impulse formula I ═ Ft, the increment of the momentum of the projectile is equal to the impulse of the external force, and the initial speed of projectile leaving the barrel is calculated
Figure BDA0003260624540000053
Based on the measuring system, the initial speed testing method comprises the following steps:
firstly, pressure measuring software is operated, sampling frequency and sampling time are set, and high-pressure gas with certain pressure intensity is stored in the secondary pressure chamber.
Data acquisition is then commenced.
And after the fire extinguishing bomb is fired, the secondary pressure chamber is instantly communicated with the launching tube, and high-pressure gas in the secondary pressure chamber quickly enters the launching tube to build pressure in the launching tube to push the bomb body to move forwards. The pressure measuring software collects pressure intensity analog voltage signals which sequentially pass through the piezoelectric sensor and the charge amplifier and are sent to the collecting module to simulate the change of the input port.
And storing the data after the acquisition is finished.
And finally, searching the starting time and the ending time of the pressure action, inputting the diameter of the launching tube and the quality parameters of the projectile body, and analyzing and calculating the initial speed of the projectile body leaving the tube according to the momentum of the momentum theorem object with the increment equal to the total external force applied to the projectile body.
Through a large amount of simulated bomb launches and the fire extinguishing bomb live bomb launch initial velocity test, compare with the high-speed camera initial velocity test, this fire extinguishing bomb initial velocity measurement system test initial velocity is accurate, reliable, is the important foundation of the pressure value of gas in the adjustment secondary pressure cabin, realizes the long and medium distance accurate delivery target of fire extinguishing bomb.
According to the technical scheme, the invention has the following remarkable characteristics:
(1) the high-pressure cold air ejection and emission mode of the fire extinguishing bomb is fully utilized, and the initial speed of the bomb body leaving the cylinder is indirectly measured.
(2) The system is in modular design, high in cost performance, and easy and feasible to maintain and upgrade.
(3) The system has strong adaptive capacity to the environment and can meet all-weather tests.
(4) The pressure measuring software can store and display the pressure data, and is convenient for systematic analysis.
The above description is only a preferred embodiment of the present invention, and it should be noted that, for those skilled in the art, several modifications and variations can be made without departing from the technical principle of the present invention, and these modifications and variations should also be regarded as the protection scope of the present invention.

Claims (7)

1. The utility model provides a fire extinguishing bomb initial velocity measurement system which characterized in that: the system comprises a piezoelectric sensor, a charge amplifier, an acquisition module, a computer and pressure measurement software; the piezoelectric sensor converts the pressure of gas entering the launching tube into a charge signal, the charge amplifier converts the charge signal into an analog voltage signal in a proportional relation with the pressure, the pressure measuring software records the analog voltage signal of the analog input end of the acquisition module, and meanwhile, the pressure measuring software analyzes and calculates by substituting parameters such as the sectional area of the launching tube, the mass of the fire extinguishing projectile body, the pressure acting time and the like, so that the initial speed of the projectile body leaving the launching tube is obtained.
2. A fire extinguishing bomb initial velocity measuring system as claimed in claim 1, wherein: the piezoelectric sensor is arranged at the rear part of the launching tube through a threaded hole, and the piezoelectric sensing end is communicated with the cavity of the launching tube; when in launching, the secondary pressure chamber is instantly communicated with the launching tube, high-pressure gas in the secondary pressure chamber quickly enters the launching tube, pressure is built in the launching tube, and the projectile body is pushed to move forwards; the piezoelectric sensor converts the gas pressure changed in the launching tube into a charge signal, and the charge signal is sent to the input end of the charge amplifier.
3. A fire extinguishing bomb initial velocity measuring system as claimed in claim 1, wherein: the charge amplifier needs to set the range and the sensitivity matched with the sensor, converts a charge signal transmitted by the piezoelectric sensor into an analog voltage signal in a proportional relation with the gas pressure in the launching tube, and transmits the output analog voltage signal to the acquisition module.
4. A fire extinguishing bomb initial velocity measuring system as claimed in claim 1, wherein: the acquisition module sets sampling frequency and sampling time through pressure measurement software, acquires analog voltage signals output by the charge amplifier, converts the analog voltage signals into digital signals and transmits the digital signals to the computer through a data bus.
5. A fire extinguishing bomb initial velocity measuring system as claimed in claim 1, wherein: the computer is a pressure measuring software operating platform.
6. A fire extinguishing bomb initial velocity measuring system as claimed in claim 1, wherein: the pressure measuring software comprises modules for data acquisition, data playback, cursor reading, data analysis and the like; the data acquisition module acquires pressure data; the data playback module opens the stored pressure data; the cursor reading module reads the start and stop moment of the pressure action; the data analysis module calculates the initial speed of the projectile body leaving the barrel;
the data acquisition module is used for setting test parameters and acquiring and storing pressure data; operating pressure measurement software, clicking a 'data acquisition' button after setting parameters of sampling frequency f and sampling time T, automatically starting to acquire data, stopping acquisition when the acquisition time is equal to the sampling time T, and displaying and storing pressure data;
the data playback module is used for displaying the pressure data stored in the pressure data storage module; operating pressure measuring software, clicking a data playback button, popping up a dialog box for opening a file, selecting a data file, and displaying a data pressure curve and test parameters;
the cursor reading module reads the starting time and the ending time of pressure action; the pressure measuring software is operated, a 'cursor reading' button is clicked after data are tested or displayed back, the yellow cursor and the red cursor are respectively moved and positioned at the pressure curve starting changing moment and the pressure ending changing moment, and the pressure action starting moment T1 and the pressure ending moment T2, the time difference value, the pressure intensity and the pressure intensity difference value are displayed on the left side;
wherein the data analysis module comprises inputting relevant parameters and analyzing calculation; and (3) running pressure measurement software, testing or displaying data back, reading the pressure action starting time T1 and the pressure action ending time T2, inputting the diameter d of the launching tube and the weight m of the projectile body on a software interface, clicking a data analysis button, and analyzing and calculating the total impulse of the projectile body and the initial speed of leaving the tube according to the momentum theorem.
7. The system of claim 6, wherein the system comprises: the total impulse of the projectile body and the initial speed of the projectile body leaving the barrel are calculated according to the momentum theorem analysis, the realization method is as follows,
a. inputting the diameter d of the launching tube and the weight m of the projectile body on a software interface;
b. firstly, according to a circle area formula S ═ pi d ^2/4 and a pressure formula F ═ P · S, converting the measured pressure P into a pressure F ═ P · pi d ^ 2/4;
c. according to the impulse formula I, F.t, the impulse of the projectile body in the launching tube is the integral of pressure to time from the pressure starting moment to the pressure ending moment, namely
Figure FDA0003260624530000021
It is simplified to the sum of the pressure trapezoidal areas which are higher than the sampling interval time delta T in the time period from the starting time T1 to the ending time T2, namely the impulse of the projectile in the launching tube
Figure FDA0003260624530000022
Wherein the trapezoidal area formula S ═ Pi+Pi+1) Δ T/2, where S is the pressure area of the ith trapezoid in the time period from T1 to T2, PiFor the ith pressure value, P, in the time period T1-T2i+1The pressure value is the (i + 1) th pressure value in the time period from T1 to T2, delta T is sampling interval time, delta T is 1/f, n is the number of the delta T in the time period from T1 to T2, i is a variable, and i is more than or equal to 0 and less than or equal to n;
d. according to the law of momentum, where Ft is m.DELTA.v and impulse is F.t, the increment of the momentum of the projectile is equal to the impulse of the external force, and the initial speed of the projectile from the barrel is calculated
Figure FDA0003260624530000023
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